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Finding the Fourth Proportional to 57,650, 79,557 and 31,154

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Solution

The fourth proportional to 57,650, 79,557 and 31,154 is: 42,992.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,650 : 79,557 = 31,154 : x
  2. Step 2: Convert to fraction form
    57,650/79,557 = 31,154/x
  3. Step 3: Cross multiply
    57,650x = 79,557 × 31,154
  4. Step 4: Simplify right side
    57,650x = 2,478,518,778
  5. Step 5: Solve for x
    x = 2,478,518,778/57,650
  6. Step 6: Final answer
    x = 42,992.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.